2835936 has 72 divisors (see below), whose sum is σ = 8288280. Its totient is φ = 919296.

The previous prime is 2835913. The next prime is 2835941. The reversal of 2835936 is 6395382.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (38880) is a multiple of the sum of its prime factors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2835936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12270 + ... + 12498.

It is an arithmetic number, because the mean of its divisors is an integer number (115115).

2^2835936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2835936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144140).

2835936 is an abundant number, since it is smaller than the sum of its proper divisors (5452344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2835936 is a wasteful number, since it uses less digits than its factorization.

2835936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 2835936 is about 1684.0237528016. The cubic root of 2835936 is about 141.5463935742.

The spelling of 2835936 in words is "two million, eight hundred thirty-five thousand, nine hundred thirty-six".